Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities

DOI10.1215/00277630-2691901zbMath1372.35271OpenAlexW2049220406MaRDI QIDQ2926246

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Publication date: 31 October 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1402319947

zbMATH Keywords

pointwise estimateslocal and global well-posednesssystem of Korteweg-de Vries type equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Finite element methods for a system of dispersive equations ⋮ Elliptic solutions and solitary waves of a higher order KdV-BBM long wave equation ⋮ A posteriori error estimates for finite element methods for systems of nonlinear, dispersive equations ⋮ Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations ⋮ Blowup and ill-posedness for the complex, periodic KdV equation ⋮ Local discontinuous Galerkin methods to a dispersive system of KdV-type equations ⋮ WELL-POSEDNESS FOR THE COUPLED BBM SYSTEMS ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations ⋮ Higher-order Hamiltonian model for unidirectional water waves ⋮ Stability of solitary-wave solutions of systems of dispersive equations ⋮ Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities ⋮ Global control aspects for long waves in nonlinear dispersive media

Cites Work

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